On Ericksen's model for liquid crystals

DOI10.1007/BF02921587zbMath0812.35047MaRDI QIDQ1336080

Chi-Cheung Poon, Fang-Hua Lin

Publication date: 22 May 1995

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

zbMATH Keywords

Hölder continuityliquid crystalsDirichlet or Neumann conditionsregularity of local minimizers

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Regularity of solutions in optimal control (49N60) Variational methods for elliptic systems (35J50)

Related Items (9)

Defects of liquid crystals with variable degree of orientation ⋮ <scp>Isotropic‐Nematic</scp> Phase Transition and Liquid Crystal Droplets ⋮ Recent developments of analysis for hydrodynamic flow of nematic liquid crystals ⋮ A free boundary value problem of nematic liquid crystals with variable degree of orientation ⋮ Rectifiability of line defects in liquid crystals with variable degree of orientation ⋮ Recent analytic development of the dynamic \(Q\)-tensor theory for nematic liquid crystals ⋮ Continuum mechanics of line defects in liquid crystals and liquid crystal elastomers ⋮ Landau-De Gennes theory of nematic liquid crystals: the Oseen-Frank limit and beyond ⋮ Nematic-isotropic phase transition in liquid crystals: a variational derivation of effective geometric motions

Cites Work

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• Existence of minimal energy configurations of nematic liquid crystals with variable degree of orientation
• Regularity of solutions of a degenerate elliptic variational problem
• Liquid crystals with variable degree of orientation
• Existence and partial regularity of static liquid crystal configurations
• Harmonic maps into round cones and singularities of nematic liquid crystals
• On nematic liquid crystals with variable degree of orientation
• On Harnack's theorem for elliptic differential equations

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